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The median of observations 17, 18, 20, 22, x+2, x+4, 31, 35, 37 is found to be 24. If the observations have been arranged in ascending order, the value of x will be​
  • a)
    30
  • b)
    22
  • c)
    25
  • d)
    20
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The median of observations 17, 18, 20, 22, x+2, x+4, 31, 35, 37 is fou...
17, 18, 20, 22, x+2, x+4, 31, 35, 37
The total number of observation is 9, which is odd.
► Median  = (9+1)/2th term = 5th term
Now 5th term of the observation is (x+2)
Also given, median = 24
► x + 2 = 24
► x = 24-2
► x = 22
So the value of x is 22.
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Most Upvoted Answer
The median of observations 17, 18, 20, 22, x+2, x+4, 31, 35, 37 is fou...
Since we know median is the middle most value of a data
Here x+2 is the middle value but they given that 24 is the median
Soo x+2=24 x=22
Free Test
Community Answer
The median of observations 17, 18, 20, 22, x+2, x+4, 31, 35, 37 is fou...
17, 18, 20, 22, x+2, x+4, 31, 35, 37
The total number of observation is 9, which is odd.
► Median  = (9+1)/2th term = 5th term
Now 5th term of the observation is (x+2)
Also given, median = 24
► x + 2 = 24
► x = 24-2
► x = 22
So the value of x is 22.
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The median of observations 17, 18, 20, 22, x+2, x+4, 31, 35, 37 is found to be 24. If the observations have been arranged in ascending order, the value of x will be​a)30b)22c)25d)20Correct answer is option 'B'. Can you explain this answer?
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